Energy required to move a body of mass m from an orbit of radius 2 R to 3 R is

The gravitational potential energy (P.E.) of a mass m in an orbit of radius R is negative and proportional to the inverse of the radius. When the radius is doubled, the potential energy becomes less negative, reflecting the decrease in gravitational attraction. Similarly, when the radius is tripled, the potential energy further decreases. The change in gravitational potential energy between two orbits, such as from a radius of 2R to 3R, can be found by calculating the difference between the two potential energies. This difference represents the work done by the gravitational force in moving the object between these orbits.

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